名校
解题方法
1 . 已知
的周长为20,角
,
,
所对的边分别为
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)若
,
,求
的面积;
(2)若
的内切圆半径为
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3578b63c5903089595bf324c809a997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aae1dc870a60a2070469d556deb472.png)
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2 . 袋子中有数字“7”的卡片3张和数字“2”,“3”,“5”的卡片各1张,从中任意取出4张卡片,最多能组成_____________ 个不同的四位数(用数字回答).
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名校
解题方法
3 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9e78f512845e1d75a0beaa0339be2.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ca6fc5083f336bcd865359a7eb8b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9e78f512845e1d75a0beaa0339be2.png)
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4 .
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed88494a1c51daa92014abbc34c266e.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed6448f66b2aef8c9685ce56054a160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed88494a1c51daa92014abbc34c266e.png)
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解题方法
5 . 已知正四面体
,过点
的平面将四面体的体积平分,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.截面一定是锐角三角形 | B.截面可以是等边三角形 |
C.截面可能为直角三角形 | D.截面为等腰三角形的有6个 |
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6 . 已知
,
分别是自然对数的底和圆周率,则下列不等式成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知集合
,则下列关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07dceaa9d2b54322c0dc3fd0715ed61b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 对于每一对实数
,
,函数
满足函数方程
,如果
,那么满足
的
的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d878fd46f7f8e8538acb7906c8271cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d99f2cf2a63a458a5e251eccde7ee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.1个 | B.2个 | C.3个 | D.无数多个 |
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名校
解题方法
9 . 已知双曲线
的左焦点为
,过坐标原点
作直线与双曲线的左右两支分别交于
两点,且
,
,则双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb68e77dc3ec2fa402a45d26e63e742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4f790388df7f2f28e56ce19c2c84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b98e91240001ff3210f3b9fc67adb7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知等腰
的底边
和
边上的高
的长都是有理数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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